Swarming in Shallow Waters

Soh, Siowling; Branicki, Michał; Grzybowski, Bartosz A.

doi:10.1021/jz200180z

Cited by 63 publications

(72 citation statements)

References 16 publications

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“…For example, ah ematic catalystp article covered with polymer decomposesH 2 O 2 under blue light illumination, and therefore the clusters are formed only with illumination. [33,36,[143][144][145] In the case of camphor disks floating on water, there are two sources of interaction:s urfacet ension (repulsive interaction) and hydrodynamic interaction that can work as either repulsive or attractive depending on the distance between the disks and the depth of the water phase. Another example is chemical stimulus.…”

Section: Pattern Formation-cluster Formationmentioning

confidence: 99%

“…[139] When the light is cut off, the clusters are broken duet oBrownian motion of the particles. [36,[143][144][145] As the result of balance between those interactions, camphor disks can form characteristico rdered structures. When NH 3 is added to an aqueous solution, Ag 3 PO 4 particles move randomly without formingc lusters.…”

Section: Pattern Formation-cluster Formationmentioning

confidence: 99%

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Evolution of Self‐Propelled Objects: From the Viewpoint of Nonlinear Science

Suematsu

Nakata

2018

Chemistry A European J

103

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A variety of moving objects driven by chemical energy have been reported. In this Minireview, we focus on self-propelled objects driven by interfacial tension and explain three types of basic mechanisms for such self-propelled motion, that is, driven by a) surface tension difference, b) contact angle difference, and c) axisymmetric swirling flow in a droplet. Simple behavior induced from the basic mechanisms is then extended by coupling to a chemical reaction or increasing the number of moving objects. Even though the chemicals used here are still simple, the extended systems could show characteristic nonlinear behavior, such as reciprocating motion, oscillatory motion, and spatiotemporal pattern formation. Combining the dynamical information about these characteristic motions with the knowledge of molecular structures will lead to the development of more advanced self-propelled objects. We believe this Minireview can help chemists in investigating self-propelled objects displaying various functional motions observed in a biological system.

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Section: Pattern Formation-cluster Formationmentioning

confidence: 99%

Section: Pattern Formation-cluster Formationmentioning

confidence: 99%

Evolution of Self‐Propelled Objects: From the Viewpoint of Nonlinear Science

Suematsu

Nakata

2018

Chemistry A European J

103

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“…What is more, not only the motion of single objects but also the collective dynamics of active matter has recently attracted attention; [34][35][36][37][38] thus a theoretical model to analyze the dynamics of multiple droplets is needed. In this article, we propose a model, based on a naturally constructed Lagrangian form, for the spontaneous motion of a deformable droplet driven by interfacial tension.…”

Section: Introductionmentioning

confidence: 99%

Mathematical model for self-propelled droplets driven by interfacial tension

Nagai

Tachibana

Tobe

et al. 2016

The Journal of Chemical Physics

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Articles you may be interested inNumerical study on the effects of non-dimensional parameters on drop-on-demand droplet formation dynamics and printability range in the up-scaled model Phys. Fluids 24, 082103 (2012) We propose a model for the spontaneous motion of a droplet induced by inhomogeneity in interfacial tension. The model is derived from a variation of the Lagrangian of the system and we use a time-discretized Morse flow scheme to perform its numerical simulations. Our model can naturally simulate the dynamics of a single droplet, as well as that of multiple droplets, where the volume of each droplet is conserved. We reproduced the ballistic motion and fission of a droplet, and the collision of two droplets was also examined numerically. C 2016 AIP Publishing LLC. [http://dx

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“…Consequently, the profile of the surface concentration becomes asymmetric [14][15][16]. This camphor-water system has attracted attention since it exhibits interesting and complicated phenomena such as collective motion [17][18][19] and jamming [20] in spite of its simple setup.…”

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confidence: 99%

Spontaneous motion of an elliptic camphor particle

2013

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The coupling between deformation and motion in a self-propelled system has attracted broader interest. In the present study, we consider an elliptic camphor particle for investigating the effect of particle shape on spontaneous motion. It is concluded that the symmetric spatial distribution of camphor molecules at the water surface becomes unstable first in the direction of a short axis, which induces the camphor disk motion in this direction. Experimental results also support the theoretical analysis. From the present results, we suggest that when an elliptic particle supplies surface-active molecules to the water surface, the particle can exhibit translational motion only in the short-axis direction. Spontaneous motion in nonequilibrium systems has long attracted the interest of scientists because it is related to the motion of living organisms. In particular, the coupling between deformation and spontaneous motion has been actively investigated and several important and interesting studies, both experimental and theoretical, have been reported. For example, Ohta et al. proposed a generic model for the coupling between deformation and spontaneous motion by analyzing such coupling from the viewpoint of the bifurcation theory of dynamical systems [1][2][3]. Teramoto et al. studied the coupling between deformation and motion in pulse propagation in a reaction-diffusion system [4]. In experiments, cell motion is analyzed in relation to cell shape [5][6][7], and mathematical models have also been proposed for such cell deformation [8,9].For investigating the coupling between motion and deformation, one approach is to decouple them; i.e., we consider the effect of particle shape on motion. For this purpose, we chose a camphor-water system, in which a camphor particle exhibits spontaneous motion but not deformation. The camphor-water system was first reported in the 19th century [10,11]. As a camphor particle is placed on pure water, it exhibits spontaneous motion. The mechanism of the motion is briefly described as follows [12,13]: Camphor molecules escape from the camphor particle to the water surface. Since camphor has a surface activity, the camphor molecules at the water surface reduce the surface tension. It should be noted that the camphor molecules sublimate to the air, so that the profile of the surface concentration of camphor molecules at the water surface can reach a steady state. If the camphor particle is circular and does not move, the profile of the surface concentration of camphor molecules should be symmetric with respect to the center of the camphor particle. However, it is known that such a steady state can become unstable by an infinitesimal fluctuation. In such a case, motion in a certain direction at a constant velocity is stabilized and realized. Consequently, the profile of * Corresponding author: kitahata@physics.s.chiba-u.ac.jp the surface concentration becomes asymmetric [14][15][16]. This camphor-water system has attracted attention since it exhibits interesting and complicated phenomena ...

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Swarming in Shallow Waters

Cited by 63 publications

References 16 publications

Evolution of Self‐Propelled Objects: From the Viewpoint of Nonlinear Science

Evolution of Self‐Propelled Objects: From the Viewpoint of Nonlinear Science

Mathematical model for self-propelled droplets driven by interfacial tension

Spontaneous motion of an elliptic camphor particle

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